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Part B: Latitude vs. Temperature

 

In the second part of this RWLO, you will examine data collected in the Global Sun - Temperature project to see if there is any relationship between proximity to the equator (latitude) and average daily temperature at that location. The data that you will be using was collected during a specific week in November, 2000. During that week, students recorded the temperature at local noontime each day. They found the average temperature for the week and submitted it to the project along with their latitude and longitude.

1.  Review the data that was submitted to the project: Fall 2000 Data .

 

2. Examine a scatter plot of the data. Describe, in your own words, the trend you see in the data. Does it make sense? Explain why or why not.

(click to enlarge)

 

3. What is the appropriate domain and range for this data? Explain your reasoning.

 

4. Below are two functions that have been fit to the data; a 2nd degree polynomial (quadratic) and a 3rd degree polynomial. The equations for each of the functions are given along with the Coefficient of Determination (r2). In each case, the functions have been extrapolated to +/- 90. Also provided are the residual plots for both models.

2nd Degree Polynomial Model

 

Residuals

(click to enlarge)

 

3rd Degree Polynomial Model

 

Residuals

(click to enlarge)

 

5. Which model do YOU think is best for the given data? Justify your decision.

 

6. Are there any outliers? What might be a reasonable explanation for the outliers?

 

7. What would you expect the model to look like in May of any given year? Explain. Explore archived data for this project and pick 5-10 data points that either support or refute your predicted model. Pick points at a variety of latitudes to ensure that the points represent the model in its entirety.

 

 

 

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